Synergistic Effects of Detuning and Auxiliary Qubits on Quantum Synchronization

TL;DR

This paper explores how detuning and auxiliary qubits work together to improve quantum synchronization in dissipative multi-qubit systems, especially in non-Markovian environments with environmental memory.

Contribution

It demonstrates that detuning becomes a powerful control tool in non-Markovian regimes and that auxiliary qubits enhance synchronization by increasing system memory and collective coupling.

Findings

Detuning enhances phase locking in non-Markovian environments.

Adding auxiliary qubits strengthens synchronization and system memory.

Synchronization stability is significantly improved with detuning and auxiliary qubits.

Abstract

We investigate how detuning and auxiliary qubits collaboratively enhance quantum synchronization in a dissipative multi-qubit system that is coupled to a structured reservoir. Our findings indicate that while detuning is ineffective in Markovian environments, it emerges as a powerful control parameter in the non-Markovian regime, where environmental memory facilitates long-lived phase coherence. It is shown that adding more auxiliary qubits amplifies this effect by strengthening the collective coupling and enhancing memory, resulting in robust phase locking within the system. Analysis using the Husimi Q-function, synchronization measures, and Arnold tongue structures reveals a detuning-induced enhancement of phase locking, which significantly improves stability compared to the resonance case. These results establish a cooperative control strategy where detuning actively engineers phases, while auxiliary qubits provide the necessary memory for sustained synchronization.